Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
36001	Find the Maximum/Minimum Value	f(x)=3x^2+18x+23	$f (x) = 3 x^{2} + 18 x + 23$
36002	Simplify	( square root of 97)^2	${(\sqrt{97})}^{2}$
36003	Find the Maximum/Minimum Value	f(x)=-3x^2+18x-26	$f (x) = - 3 x^{2} + 18 x - 26$
36004	Find the Maximum/Minimum Value	f(x)=-3x^2+18x-30	$f (x) = - 3 x^{2} + 18 x - 30$
36005	Find the Maximum/Minimum Value	f(x)=3x^2+24x+49	$f (x) = 3 x^{2} + 24 x + 49$
36006	Factor	y^(2x)-y^x-20	$y^{2 x} - y^{x} - 20$
36007	Find the Maximum/Minimum Value	f(x)=-3x^2+24x-52	$f (x) = - 3 x^{2} + 24 x - 52$
36008	Find the Maximum/Minimum Value	f(x)=-3x^2+2x-5	$f (x) = - 3 x^{2} + 2 x - 5$
36009	Simplify	(1-2i)(1+2i)	$(1 - 2 i) (1 + 2 i)$
36010	Simplify	10x^2-8x-1+(4x^2-8x-5)	$10 x^{2} - 8 x - 1 + (4 x^{2} - 8 x - 5)$
36011	Simplify	-1+6i+(1-5i)	$- 1 + 6 i + (1 - 5 i)$
36012	Find the Maximum/Minimum Value	f(x)=3x^2+6x-72	$f (x) = 3 x^{2} + 6 x - 72$
36013	Simplify	(1+2i)*(5-3i)	$(1 + 2 i) \cdot (5 - 3 i)$
36014	Simplify	(y^2-3y+4)(5y-3)	$(y^{2} - 3 y + 4) (5 y - 3)$
36015	Simplify	(2n^2+4n+4)(4n-5)	$(2 n^{2} + 4 n + 4) (4 n - 5)$
36016	Find the Maximum/Minimum Value	f(x)=3x^2-14x-5	$f (x) = 3 x^{2} - 14 x - 5$
36017	Simplify	(2x+1)(x+1)	$(2 x + 1) (x + 1)$
36018	Find the Maximum/Minimum Value	f(x)=3x^2-24x+53	$f (x) = 3 x^{2} - 24 x + 53$
36019	Find the Maximum/Minimum Value	f(x)=-3x^2-30x-78	$f (x) = - 3 x^{2} - 30 x - 78$
36020	Simplify	(2-i)(-3+6i)	$(2 - i) (- 3 + 6 i)$
36021	Simplify	(5ab^2-4ab+7a^2b)(ab)^-1	$(5 a b^{2} - 4 a b + 7 a^{2} b) {(a b)}^{- 1}$
36022	Simplify	(-6i)(-4i)	$(- 6 i) (- 4 i)$
36023	Find the Maximum/Minimum Value	f(x)=-3x^2-6x-2	$f (x) = - 3 x^{2} - 6 x - 2$
36024	Simplify	(5x-1)(5x-1)	$(5 x - 1) (5 x - 1)$
36025	Find the Maximum/Minimum Value	f(x)=-3x^4-14	$f (x) = - 3 x^{4} - 14$
36026	Simplify	(5x+4y)(5x-4y)	$(5 x + 4 y) (5 x - 4 y)$
36027	Simplify	(2x-3)(x+2)	$(2 x - 3) (x + 2)$
36028	Find the Maximum/Minimum Value	f(x)=4x^2+8x-96	$f (x) = 4 x^{2} + 8 x - 96$
36029	Find the Maximum/Minimum Value	f(x)=4x^4+2x^3-8x^2-5x+2	$f (x) = 4 x^{4} + 2 x^{3} - 8 x^{2} - 5 x + 2$
36030	Simplify	(3x-8)(3x+8)	$(3 x - 8) (3 x + 8)$
36031	Find the Maximum/Minimum Value	f(x)=5x^2-10x+10	$f (x) = 5 x^{2} - 10 x + 10$
36032	Simplify	(3x-1)(x+2)	$(3 x - 1) (x + 2)$
36033	Find the Maximum/Minimum Value	f(x)=7x^2+14x-2	$f (x) = 7 x^{2} + 14 x - 2$
36034	Simplify	(3-i)(3+i)	$(3 - i) (3 + i)$
36035	Find the Maximum/Minimum Value	f(x)=-x^2+11x-25	$f (x) = - x^{2} + 11 x - 25$
36036	Simplify	1+3i	$1 + 3 i$
36037	Simplify	(x+1)/(x^2-1)	$\frac{x + 1}{x^{2} - 1}$
36038	Find the Maximum/Minimum Value	f(x)=-x^2+11x-27	$f (x) = - x^{2} + 11 x - 27$
36039	Simplify	(x+2)/(2x^2+13x+20)-(x+3)/(2x^2+13x+20)	$\frac{x + 2}{2 x^{2} + 13 x + 20} - \frac{x + 3}{2 x^{2} + 13 x + 20}$
36040	Find the Maximum/Minimum Value	f(x)=x^2+12x+38	$f (x) = x^{2} + 12 x + 38$
36041	Simplify	(x+4)/(x^2+x-12)*(x+4)/(x^2+8x+16)	$\frac{x + 4}{x^{2} + x - 12} \cdot \frac{x + 4}{x^{2} + 8 x + 16}$
36042	Find the Maximum/Minimum Value	f(x)=x^2+12x+40	$f (x) = x^{2} + 12 x + 40$
36043	Simplify	(x+4)/(x-1)*(x^2+x)/(x-1)	$\frac{x + 4}{x - 1} \cdot \frac{x^{2} + x}{x - 1}$
36044	Find the Maximum/Minimum Value	f(x)=x^2+14x+55	$f (x) = x^{2} + 14 x + 55$
36045	Simplify	(x-4)/(x^2-x-12)*(x-4)/(x^2-8x+16)	$\frac{x - 4}{x^{2} - x - 12} \cdot \frac{x - 4}{x^{2} - 8 x + 16}$
36046	Simplify	x^2+2xy+y^2	$x^{2} + 2 x y + y^{2}$
36047	Find the Maximum/Minimum Value	f(x)=-x^2+9x-17	$f (x) = - x^{2} + 9 x - 17$
36048	Simplify	x^(-4/3)*x^(7/3)	$x^{- \frac{4}{3}} \cdot x^{\frac{7}{3}}$
36049	Find the Maximum/Minimum Value	f(x)=-x^2-10x+4	$f (x) = - x^{2} - 10 x + 4$
36050	Simplify	x^(5/7)	$x^{\frac{5}{7}}$
36051	Find the Maximum/Minimum Value	f(x)=-x^2-11x-29	$f (x) = - x^{2} - 11 x - 29$
36052	Simplify	x^(6/7)	$x^{\frac{6}{7}}$
36053	Find the Maximum/Minimum Value	f(x)=x^2-12x-5	$f (x) = x^{2} - 12 x - 5$
36054	Simplify	x^(3-27)	$x^{3 - 27}$
36055	Find the Maximum/Minimum Value	f(x)=x^2-2x-7	$f (x) = x^{2} - 2 x - 7$
36056	Simplify	x^2=9	$x^{2} = 9$
36057	Find the Maximum/Minimum Value	f(x)=-x^2-4x-10	$f (x) = - x^{2} - 4 x - 10$
36058	Simplify	6 square root of 5	$6 \sqrt{5}$
36059	Find the Maximum/Minimum Value	f(x)=-x^2-5x-1	$f (x) = - x^{2} - 5 x - 1$
36060	Simplify	x^(2-64)	$x^{2 - 64}$
36061	Find the Maximum/Minimum Value	f(x)=x^2-6x+1	$f (x) = x^{2} - 6 x + 1$
36062	Simplify	fourth root of 25x^2*(25x^2)^(1/4)	$\sqrt[4]{25 x^{2}} \cdot {(25 x^{2})}^{\frac{1}{4}}$
36063	Find the Maximum/Minimum Value	f(x)=x^2-6x+14	$f (x) = x^{2} - 6 x + 14$
36064	Simplify	square root of 122	$\sqrt{122}$
36065	Find the Maximum/Minimum Value	f(x)=x^2-8x+18	$f (x) = x^{2} - 8 x + 18$
36066	Simplify	sixth root of x* sixth root of x* sixth root of x* sixth root of x	$\sqrt[6]{x} \cdot \sqrt[6]{x} \cdot \sqrt[6]{x} \cdot \sqrt[6]{x}$
36067	Simplify	x/(x^2+9x+20)-4/(x^2+7x+12)	$\frac{x}{x^{2} + 9 x + 20} - \frac{4}{x^{2} + 7 x + 12}$
36068	Simplify	cube root of 16x- cube root of 54x	$\sqrt[3]{16 x} - \sqrt[3]{54 x}$
36069	Find the Maximum/Minimum Value	f(x)=-x^2-8x-12	$f (x) = - x^{2} - 8 x - 12$
36070	Simplify	(4/y)^3(3/y)^4	${(\frac{4}{y})}^{3} {(\frac{3}{y})}^{4}$
36071	Simplify	square root of 81/64	$\sqrt{\frac{81}{64}}$
36072	Find the Maximum/Minimum Value	f(x)=-x^2-8x-22	$f (x) = - x^{2} - 8 x - 22$
36073	Simplify	(t^2s)/(rs)+(rs^2)/(rt)	$\frac{t^{2} s}{r s} + \frac{r s^{2}}{r t}$
36074	Find the Maximum/Minimum Value	f(x)=x^2-8x-3	$f (x) = x^{2} - 8 x - 3$
36075	Simplify	(y^(1/2))/(y^(1/4))	$\frac{y^{\frac{1}{2}}}{y^{\frac{1}{4}}}$
36076	Find the Maximum/Minimum Value	f(x)=x^2-9x	$f (x) = x^{2} - 9 x$
36077	Simplify	(y^(3/4))/(y^(1/4))	$\frac{y^{\frac{3}{4}}}{y^{\frac{1}{4}}}$
36078	Find the Maximum/Minimum Value	f(x)=-x^2-9x-15	$f (x) = - x^{2} - 9 x - 15$
36079	Simplify	(y^2)/(y-3)*(y^2-y-6)/(y^2+1y)	$\frac{y^{2}}{y - 3} \cdot \frac{y^{2} - y - 6}{y^{2} + 1 y}$
36080	Find the Maximum/Minimum Value	f(x)=x^3+3x^2-24x+6	$f (x) = x^{3} + 3 x^{2} - 24 x + 6$
36081	Simplify	(x^2-81)/(x^2-3x-54)*(x+6)/x	$\frac{x^{2} - 81}{x^{2} - 3 x - 54} \cdot \frac{x + 6}{x}$
36082	Simplify	(x^9)/x	$\frac{x^{9}}{x}$
36083	Simplify	125^(-2/3)	$125^{- \frac{2}{3}}$
36084	Simplify	((x^(2/3))^2)/((x^2)^(7/3))	$\frac{{(x^{\frac{2}{3}})}^{2}}{{(x^{2})}^{\frac{7}{3}}}$
36085	Find the Maximum/Minimum Value	f(x)=x^3-3x+2	$f (x) = x^{3} - 3 x + 2$
36086	Simplify	(3(-x)^2-1)/((-x)^2)	$\frac{3 {(- x)}^{2} - 1}{{(- x)}^{2}}$
36087	Find the Maximum/Minimum Value	f(x)=x^3-4x+4	$f (x) = x^{3} - 4 x + 4$
36088	Simplify	(a^2)/(a-b)+(b^2)/(b-a)	$\frac{a^{2}}{a - b} + \frac{b^{2}}{b - a}$
36089	Find the Maximum/Minimum Value	f(x)=x^4-4x^3+7	$f (x) = x^{4} - 4 x^{3} + 7$
36090	Simplify	(a^2-2a-3)/(a^2-9a+18)-(a^2-5a-6)/(a^2+9a+8)	$\frac{a^{2} - 2 a - 3}{a^{2} - 9 a + 18} - \frac{a^{2} - 5 a - 6}{a^{2} + 9 a + 8}$
36091	Find the Maximum/Minimum Value	f(x)=x^6-2.4	$f (x) = x^{6} - 2.4$
36092	Find the Maximum/Minimum Value	g(t)=t square root of t+3	$g (t) = t \sqrt{t + 3}$
36093	Simplify	(-6x)^2	${(- 6 x)}^{2}$
36094	Find the Maximum/Minimum Value	g(x)=2x^2+16x+30	$g (x) = 2 x^{2} + 16 x + 30$
36095	Simplify	(6x^3)^2	${(6 x^{3})}^{2}$
36096	Find the Maximum/Minimum Value	g(x)=2x^2+16x+35	$g (x) = 2 x^{2} + 16 x + 35$
36097	Simplify	(5x-2)^2	${(5 x - 2)}^{2}$
36098	Find the Maximum/Minimum Value	g(x)=-2x^2+16x-36	$g (x) = - 2 x^{2} + 16 x - 36$
36099	Simplify	(5x+2y)^2	${(5 x + 2 y)}^{2}$
36100	Find the Maximum/Minimum Value	g(x)=-2x^2+6x+9	$g (x) = - 2 x^{2} + 6 x + 9$